Oh well near Bran castle r lots of things to see. There s the medieval city of Sighisoara, then theres the city of Sinaia with the royal palace, dont miss this one, is even better than Versailles, there are all the mountain small cities with from the Valea Prahovei where is an amazing view and very fresh air, dont miss the churches, even ur not christian maybe, u can enter freely in any monastery or church. Well, lots of things to see but just hope i was useful to u :)

Haha u are more than welcome on our lands.if i can help u with something pls dont hesitate to tell me